Many Wiccan books discuss the taking of a Wiccan /magical name. The ceremonial bestowing of such a name upon the initiate is a part of many initiation ceremonies. Afterward, the new Wiccan is usually exclusively called by this name within the circle.
... I am so sorry to do this to you, but this post has been moved to my new website, Book of Shadows, and can be found in its entirety here: About Magickal Names
As you explore this site, you may find links to a "page not found" instead of something cool and magickal. For this I apologize. I am very working hard behind the scenes to restore those pages along with a link to their homes on my new website where they can be viewed in full.